{-# LANGUAGE BangPatterns #-}
{-# LANGUAGE EmptyCase #-}
{-# LANGUAGE EmptyDataDecls #-}
{-# LANGUAGE ExistentialQuantification #-}
{-# LANGUAGE NoMonomorphismRestriction #-}
{-# LANGUAGE OverloadedStrings #-}
{-# LANGUAGE PatternSynonyms #-}
{-# LANGUAGE RankNTypes #-}
{-# LANGUAGE ScopedTypeVariables #-}

{-# OPTIONS_GHC -Wno-overlapping-patterns #-}

module MAlonzo.Code.Relation.Binary.Consequences where

import MAlonzo.RTE (coe, erased, AgdaAny, addInt, subInt, mulInt,
                    quotInt, remInt, geqInt, ltInt, eqInt, add64, sub64, mul64, quot64,
                    rem64, lt64, eq64, word64FromNat, word64ToNat)
import qualified MAlonzo.RTE
import qualified Data.Text
import qualified MAlonzo.Code.Agda.Builtin.Bool
import qualified MAlonzo.Code.Agda.Builtin.Sigma
import qualified MAlonzo.Code.Agda.Primitive
import qualified MAlonzo.Code.Data.Empty
import qualified MAlonzo.Code.Data.Irrelevant
import qualified MAlonzo.Code.Data.Sum.Base
import qualified MAlonzo.Code.Function.Base
import qualified MAlonzo.Code.Relation.Binary.Definitions
import qualified MAlonzo.Code.Relation.Nullary.Decidable.Core
import qualified MAlonzo.Code.Relation.Nullary.Reflects

-- Relation.Binary.Consequences._.subst⇒respˡ
d_subst'8658'resp'737'_38 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_subst'8658'resp'737'_38 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_subst'8658'resp'737'_38 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
                          AgdaAny
v11
  = (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_subst'8658'resp'737'_38 AgdaAny -> AgdaAny -> T_Level_18
v5 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
du_subst'8658'resp'737'_38 ::
  (AgdaAny -> AgdaAny -> ()) ->
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_subst'8658'resp'737'_38 :: (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_subst'8658'resp'737'_38 AgdaAny -> AgdaAny -> T_Level_18
v0 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = ((AgdaAny -> T_Level_18)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 (\ AgdaAny
v7 -> (AgdaAny -> AgdaAny -> T_Level_18) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Level_18
v0 AgdaAny
v7 AgdaAny
v2) AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
-- Relation.Binary.Consequences._.subst⇒respʳ
d_subst'8658'resp'691'_48 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_subst'8658'resp'691'_48 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_subst'8658'resp'691'_48 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
                          AgdaAny
v11
  = (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_subst'8658'resp'691'_48 AgdaAny -> AgdaAny -> T_Level_18
v5 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
du_subst'8658'resp'691'_48 ::
  (AgdaAny -> AgdaAny -> ()) ->
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_subst'8658'resp'691'_48 :: (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_subst'8658'resp'691'_48 AgdaAny -> AgdaAny -> T_Level_18
v0 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = ((AgdaAny -> T_Level_18)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> T_Level_18) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Level_18
v0 AgdaAny
v2) AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
-- Relation.Binary.Consequences._.subst⇒resp₂
d_subst'8658'resp'8322'_58 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_subst'8658'resp'8322'_58 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
d_subst'8658'resp'8322'_58 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~AgdaAny -> AgdaAny -> T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6
  = ((AgdaAny -> T_Level_18)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_subst'8658'resp'8322'_58 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6
du_subst'8658'resp'8322'_58 ::
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_subst'8658'resp'8322'_58 :: ((AgdaAny -> T_Level_18)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_subst'8658'resp'8322'_58 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      (((AgdaAny -> AgdaAny -> T_Level_18)
 -> ((AgdaAny -> T_Level_18)
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_subst'8658'resp'691'_48 AgdaAny
forall a. a
erased (((AgdaAny -> T_Level_18)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
forall a b. a -> b
coe (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0))
      (((AgdaAny -> AgdaAny -> T_Level_18)
 -> ((AgdaAny -> T_Level_18)
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_subst'8658'resp'737'_38 AgdaAny
forall a. a
erased (((AgdaAny -> T_Level_18)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
forall a b. a -> b
coe (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0))
-- Relation.Binary.Consequences._.resp⇒¬-resp
d_resp'8658''172''45'resp_76 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny ->
  (AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_resp'8658''172''45'resp_76 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> T_Irrelevant_20
d_resp'8658''172''45'resp_76 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences._.sym⇒¬-sym
d_sym'8658''172''45'sym_98 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny ->
  (AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_sym'8658''172''45'sym_98 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> T_Irrelevant_20
d_sym'8658''172''45'sym_98 = T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences._.cotrans⇒¬-trans
d_cotrans'8658''172''45'trans_106 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny ->
  (AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  (AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_cotrans'8658''172''45'trans_106 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_Irrelevant_20)
-> (AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> T_Irrelevant_20
d_cotrans'8658''172''45'trans_106 = T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_Irrelevant_20)
-> (AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences._.irrefl⇒¬-refl
d_irrefl'8658''172''45'refl_132 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl'8658''172''45'refl_132 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_irrefl'8658''172''45'refl_132 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences._.total⇒refl
d_total'8658'refl_152 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_total'8658'refl_152 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_total'8658'refl_152 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~AgdaAny -> AgdaAny -> T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 T_Σ_14
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> T__'8846'__30
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
  = T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_total'8658'refl_152 T_Σ_14
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> T__'8846'__30
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
du_total'8658'refl_152 ::
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_total'8658'refl_152 :: T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_total'8658'refl_152 T_Σ_14
v0 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> T__'8846'__30
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = case T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v0 of
      MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 AgdaAny
v6 AgdaAny
v7
        -> let v8 :: t
v8 = (AgdaAny -> AgdaAny -> T__'8846'__30) -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T__'8846'__30
v2 AgdaAny
v3 AgdaAny
v4 in
           AgdaAny -> AgdaAny
forall a b. a -> b
coe
             (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
forall a. a
v8 of
                MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v9 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v9
                MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v9
                  -> AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v6 AgdaAny
v3 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 (AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7 AgdaAny
v3 AgdaAny
v4 AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5) AgdaAny
v9)
                T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
      T_Σ_14
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Consequences._.total∧dec⇒dec
d_total'8743'dec'8658'dec_204 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d_total'8743'dec'8658'dec_204 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d_total'8743'dec'8658'dec_204 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~AgdaAny -> AgdaAny -> T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> T__'8846'__30
v8 AgdaAny -> AgdaAny -> T_Dec_20
v9
                              AgdaAny
v10 AgdaAny
v11
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny
-> AgdaAny
-> T_Dec_20
du_total'8743'dec'8658'dec_204 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> T__'8846'__30
v8 AgdaAny -> AgdaAny -> T_Dec_20
v9 AgdaAny
v10 AgdaAny
v11
du_total'8743'dec'8658'dec_204 ::
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du_total'8743'dec'8658'dec_204 :: (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny
-> AgdaAny
-> T_Dec_20
du_total'8743'dec'8658'dec_204 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> T__'8846'__30
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 AgdaAny
v4 AgdaAny
v5
  = let v6 :: t
v6 = (AgdaAny -> AgdaAny -> T__'8846'__30) -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T__'8846'__30
v2 AgdaAny
v4 AgdaAny
v5 in
    AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
forall a. a
v6 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v7
           -> (Bool -> T_Reflects_16 -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                Bool -> T_Reflects_16 -> T_Dec_20
MAlonzo.Code.Relation.Nullary.Decidable.Core.C__because__32
                (Bool -> AgdaAny
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_true_10)
                ((AgdaAny -> T_Reflects_16) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> T_Reflects_16
MAlonzo.Code.Relation.Nullary.Reflects.C_of'696'_22 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v7
           -> ((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> T_Dec_20 -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> T_Dec_20 -> T_Dec_20
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_map'8242'_168
                ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny
v4 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe (\ AgdaAny
v8 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5 AgdaAny
v8 AgdaAny
v7)) ((AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v3 AgdaAny
v4 AgdaAny
v5)
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Relation.Binary.Consequences._.mono⇒cong
d_mono'8658'cong_276 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_mono'8658'cong_276 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_mono'8658'cong_276 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 ~T_Level_18
v6 ~T_Level_18
v7 ~AgdaAny -> AgdaAny -> T_Level_18
v8 ~AgdaAny -> AgdaAny -> T_Level_18
v9 ~AgdaAny -> AgdaAny -> T_Level_18
v10
                     ~AgdaAny -> AgdaAny -> T_Level_18
v11 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v14 AgdaAny -> AgdaAny
v15 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v16 AgdaAny
v17 AgdaAny
v18 AgdaAny
v19
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'8658'cong_276 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v14 AgdaAny -> AgdaAny
v15 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v16 AgdaAny
v17 AgdaAny
v18 AgdaAny
v19
du_mono'8658'cong_276 ::
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_mono'8658'cong_276 :: (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'8658'cong_276 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2
      (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292 AgdaAny -> AgdaAny
v3
         (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v8) AgdaAny
v5 AgdaAny
v6)
      (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
         (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v9) AgdaAny -> AgdaAny
v3 AgdaAny
v5 AgdaAny
v6)
      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7))
      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v6 AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7)))
-- Relation.Binary.Consequences._.antimono⇒cong
d_antimono'8658'cong_290 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antimono'8658'cong_290 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antimono'8658'cong_290 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 ~T_Level_18
v6 ~T_Level_18
v7 ~AgdaAny -> AgdaAny -> T_Level_18
v8 ~AgdaAny -> AgdaAny -> T_Level_18
v9
                         ~AgdaAny -> AgdaAny -> T_Level_18
v10 ~AgdaAny -> AgdaAny -> T_Level_18
v11 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v14 AgdaAny -> AgdaAny
v15 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v16 AgdaAny
v17 AgdaAny
v18 AgdaAny
v19
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_antimono'8658'cong_290 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v14 AgdaAny -> AgdaAny
v15 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v16 AgdaAny
v17 AgdaAny
v18 AgdaAny
v19
du_antimono'8658'cong_290 ::
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antimono'8658'cong_290 :: (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_antimono'8658'cong_290 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2
      (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
         (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v9) AgdaAny -> AgdaAny
v3 AgdaAny
v6 AgdaAny
v5)
      (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292 AgdaAny -> AgdaAny
v3
         (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v8) AgdaAny
v6 AgdaAny
v5)
      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v6 AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7)))
      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7))
-- Relation.Binary.Consequences._.mono₂⇒cong₂
d_mono'8322''8658'cong'8322'_304 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_mono'8322''8658'cong'8322'_304 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_mono'8322''8658'cong'8322'_304 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 ~T_Level_18
v6 ~T_Level_18
v7
                                 ~AgdaAny -> AgdaAny -> T_Level_18
v8 ~AgdaAny -> AgdaAny -> T_Level_18
v9 ~AgdaAny -> AgdaAny -> T_Level_18
v10 ~AgdaAny -> AgdaAny -> T_Level_18
v11 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v14 AgdaAny -> AgdaAny -> AgdaAny
v15 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v16 AgdaAny
v17 AgdaAny
v18 AgdaAny
v19 AgdaAny
v20 AgdaAny
v21 AgdaAny
v22
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'8322''8658'cong'8322'_304
      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v14 AgdaAny -> AgdaAny -> AgdaAny
v15 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v16 AgdaAny
v17 AgdaAny
v18 AgdaAny
v19 AgdaAny
v20 AgdaAny
v21 AgdaAny
v22
du_mono'8322''8658'cong'8322'_304 ::
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_mono'8322''8658'cong'8322'_304 :: (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'8322''8658'cong'8322'_304 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny
v5 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny
v6 AgdaAny
v8)
      ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v6 AgdaAny
v9) ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v7 AgdaAny
v8 AgdaAny
v10))
      ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v6 AgdaAny
v5 AgdaAny
v8 AgdaAny
v7 ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny
v5 AgdaAny
v6 AgdaAny
v9))
         ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v7 ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny
v7 AgdaAny
v8 AgdaAny
v10)))
-- Relation.Binary.Consequences._.trans∧irr⇒asym
d_trans'8743'irr'8658'asym_332 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_trans'8743'irr'8658'asym_332 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_trans'8743'irr'8658'asym_332 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences._.irr∧antisym⇒asym
d_irr'8743'antisym'8658'asym_344 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irr'8743'antisym'8658'asym_344 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_irr'8743'antisym'8658'asym_344 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences._.asym⇒antisym
d_asym'8658'antisym_354 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_asym'8658'antisym_354 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_asym'8658'antisym_354 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~AgdaAny -> AgdaAny -> T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 ~AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
v6 ~AgdaAny
v7 ~AgdaAny
v8 ~AgdaAny
v9
                        ~AgdaAny
v10
  = AgdaAny
du_asym'8658'antisym_354
du_asym'8658'antisym_354 :: AgdaAny
du_asym'8658'antisym_354 :: AgdaAny
du_asym'8658'antisym_354
  = AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
MAlonzo.Code.Data.Empty.du_'8869''45'elim_14
-- Relation.Binary.Consequences._.asym⇒irr
d_asym'8658'irr_362 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym'8658'irr_362 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym'8658'irr_362 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences._.tri⇒asym
d_tri'8658'asym_380 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_tri'8658'asym_380 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_tri'8658'asym_380 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences._.tri⇒irr
d_tri'8658'irr_432 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_tri'8658'irr_432 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_tri'8658'irr_432 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences._.tri⇒dec≈
d_tri'8658'dec'8776'_492 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d_tri'8658'dec'8776'_492 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d_tri'8658'dec'8776'_492 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~AgdaAny -> AgdaAny -> T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> T_Tri_158
v6 AgdaAny
v7 AgdaAny
v8
  = (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> T_Dec_20
du_tri'8658'dec'8776'_492 AgdaAny -> AgdaAny -> T_Tri_158
v6 AgdaAny
v7 AgdaAny
v8
du_tri'8658'dec'8776'_492 ::
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du_tri'8658'dec'8776'_492 :: (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> T_Dec_20
du_tri'8658'dec'8776'_492 AgdaAny -> AgdaAny -> T_Tri_158
v0 AgdaAny
v1 AgdaAny
v2
  = let v3 :: t
v3 = (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Tri_158
v0 AgdaAny
v1 AgdaAny
v2 in
    AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      (case AgdaAny -> T_Tri_158
forall a b. a -> b
coe AgdaAny
forall a. a
v3 of
         MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_172 AgdaAny
v4
           -> (Bool -> T_Reflects_16 -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                Bool -> T_Reflects_16 -> T_Dec_20
MAlonzo.Code.Relation.Nullary.Decidable.Core.C__because__32
                (Bool -> AgdaAny
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_false_8)
                (T_Reflects_16 -> AgdaAny
forall a b. a -> b
coe T_Reflects_16
MAlonzo.Code.Relation.Nullary.Reflects.C_of'8319'_26)
         MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_180 AgdaAny
v5
           -> (Bool -> T_Reflects_16 -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                Bool -> T_Reflects_16 -> T_Dec_20
MAlonzo.Code.Relation.Nullary.Decidable.Core.C__because__32
                (Bool -> AgdaAny
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_true_10)
                ((AgdaAny -> T_Reflects_16) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> T_Reflects_16
MAlonzo.Code.Relation.Nullary.Reflects.C_of'696'_22 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5))
         MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_188 AgdaAny
v6
           -> (Bool -> T_Reflects_16 -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                Bool -> T_Reflects_16 -> T_Dec_20
MAlonzo.Code.Relation.Nullary.Decidable.Core.C__because__32
                (Bool -> AgdaAny
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_false_8)
                (T_Reflects_16 -> AgdaAny
forall a b. a -> b
coe T_Reflects_16
MAlonzo.Code.Relation.Nullary.Reflects.C_of'8319'_26)
         T_Tri_158
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Relation.Binary.Consequences._.tri⇒dec<
d_tri'8658'dec'60'_528 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d_tri'8658'dec'60'_528 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d_tri'8658'dec'60'_528 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~AgdaAny -> AgdaAny -> T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> T_Tri_158
v6 AgdaAny
v7 AgdaAny
v8
  = (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> T_Dec_20
du_tri'8658'dec'60'_528 AgdaAny -> AgdaAny -> T_Tri_158
v6 AgdaAny
v7 AgdaAny
v8
du_tri'8658'dec'60'_528 ::
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du_tri'8658'dec'60'_528 :: (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> T_Dec_20
du_tri'8658'dec'60'_528 AgdaAny -> AgdaAny -> T_Tri_158
v0 AgdaAny
v1 AgdaAny
v2
  = let v3 :: t
v3 = (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Tri_158
v0 AgdaAny
v1 AgdaAny
v2 in
    AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      (case AgdaAny -> T_Tri_158
forall a b. a -> b
coe AgdaAny
forall a. a
v3 of
         MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_172 AgdaAny
v4
           -> (Bool -> T_Reflects_16 -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                Bool -> T_Reflects_16 -> T_Dec_20
MAlonzo.Code.Relation.Nullary.Decidable.Core.C__because__32
                (Bool -> AgdaAny
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_true_10)
                ((AgdaAny -> T_Reflects_16) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> T_Reflects_16
MAlonzo.Code.Relation.Nullary.Reflects.C_of'696'_22 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))
         MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_180 AgdaAny
v5
           -> (Bool -> T_Reflects_16 -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                Bool -> T_Reflects_16 -> T_Dec_20
MAlonzo.Code.Relation.Nullary.Decidable.Core.C__because__32
                (Bool -> AgdaAny
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_false_8)
                (T_Reflects_16 -> AgdaAny
forall a b. a -> b
coe T_Reflects_16
MAlonzo.Code.Relation.Nullary.Reflects.C_of'8319'_26)
         MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_188 AgdaAny
v6
           -> (Bool -> T_Reflects_16 -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                Bool -> T_Reflects_16 -> T_Dec_20
MAlonzo.Code.Relation.Nullary.Decidable.Core.C__because__32
                (Bool -> AgdaAny
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_false_8)
                (T_Reflects_16 -> AgdaAny
forall a b. a -> b
coe T_Reflects_16
MAlonzo.Code.Relation.Nullary.Reflects.C_of'8319'_26)
         T_Tri_158
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Relation.Binary.Consequences._.trans∧tri⇒respʳ
d_trans'8743'tri'8658'resp'691'_564 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans'8743'tri'8658'resp'691'_564 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans'8743'tri'8658'resp'691'_564 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~AgdaAny -> AgdaAny -> T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 ~AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 ~AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7
                                    ~AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> T_Tri_158
v9 AgdaAny
v10 ~AgdaAny
v11 AgdaAny
v12 ~AgdaAny
v13 ~AgdaAny
v14
  = (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> AgdaAny
du_trans'8743'tri'8658'resp'691'_564 AgdaAny -> AgdaAny -> T_Tri_158
v9 AgdaAny
v10 AgdaAny
v12
du_trans'8743'tri'8658'resp'691'_564 ::
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_trans'8743'tri'8658'resp'691'_564 :: (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> AgdaAny
du_trans'8743'tri'8658'resp'691'_564 AgdaAny -> AgdaAny -> T_Tri_158
v0 AgdaAny
v1 AgdaAny
v2
  = let v3 :: t
v3 = (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Tri_158
v0 AgdaAny
v1 AgdaAny
v2 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T_Tri_158
forall a b. a -> b
coe AgdaAny
forall a. a
v3 of
         MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_172 AgdaAny
v4 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4
         MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_180 AgdaAny
v5
           -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
MAlonzo.Code.Data.Empty.du_'8869''45'elim_14
         MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_188 AgdaAny
v6
           -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
MAlonzo.Code.Data.Empty.du_'8869''45'elim_14
         T_Tri_158
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Relation.Binary.Consequences._.trans∧tri⇒respˡ
d_trans'8743'tri'8658'resp'737'_648 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans'8743'tri'8658'resp'737'_648 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans'8743'tri'8658'resp'737'_648 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~AgdaAny -> AgdaAny -> T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 ~AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 ~AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7
                                    AgdaAny -> AgdaAny -> T_Tri_158
v8 AgdaAny
v9 ~AgdaAny
v10 AgdaAny
v11 ~AgdaAny
v12 ~AgdaAny
v13
  = (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> AgdaAny
du_trans'8743'tri'8658'resp'737'_648 AgdaAny -> AgdaAny -> T_Tri_158
v8 AgdaAny
v9 AgdaAny
v11
du_trans'8743'tri'8658'resp'737'_648 ::
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_trans'8743'tri'8658'resp'737'_648 :: (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> AgdaAny
du_trans'8743'tri'8658'resp'737'_648 AgdaAny -> AgdaAny -> T_Tri_158
v0 AgdaAny
v1 AgdaAny
v2
  = let v3 :: t
v3 = (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Tri_158
v0 AgdaAny
v2 AgdaAny
v1 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T_Tri_158
forall a b. a -> b
coe AgdaAny
forall a. a
v3 of
         MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_172 AgdaAny
v4 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4
         MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_180 AgdaAny
v5
           -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
MAlonzo.Code.Data.Empty.du_'8869''45'elim_14
         MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_188 AgdaAny
v6
           -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
MAlonzo.Code.Data.Empty.du_'8869''45'elim_14
         T_Tri_158
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Relation.Binary.Consequences._.trans∧tri⇒resp
d_trans'8743'tri'8658'resp_716 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_trans'8743'tri'8658'resp_716 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> T_Σ_14
d_trans'8743'tri'8658'resp_716 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~AgdaAny -> AgdaAny -> T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 ~AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 ~AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 ~AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8
                               AgdaAny -> AgdaAny -> T_Tri_158
v9
  = (AgdaAny -> AgdaAny -> T_Tri_158) -> T_Σ_14
du_trans'8743'tri'8658'resp_716 AgdaAny -> AgdaAny -> T_Tri_158
v9
du_trans'8743'tri'8658'resp_716 ::
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_trans'8743'tri'8658'resp_716 :: (AgdaAny -> AgdaAny -> T_Tri_158) -> T_Σ_14
du_trans'8743'tri'8658'resp_716 AgdaAny -> AgdaAny -> T_Tri_158
v0
  = (AgdaAny -> AgdaAny -> T_Σ_14)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      (\ AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
         ((AgdaAny -> AgdaAny -> T_Tri_158)
 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> AgdaAny
du_trans'8743'tri'8658'resp'691'_564 ((AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Tri_158
v0) AgdaAny
v1 AgdaAny
v3)
      (\ AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
         ((AgdaAny -> AgdaAny -> T_Tri_158)
 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> AgdaAny
du_trans'8743'tri'8658'resp'737'_648 ((AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Tri_158
v0) AgdaAny
v1 AgdaAny
v3)
-- Relation.Binary.Consequences._.wlog
d_wlog_748 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
d_wlog_748 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_wlog_748 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~AgdaAny -> AgdaAny -> T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> T__'8846'__30
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_wlog_748 AgdaAny -> AgdaAny -> T__'8846'__30
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
du_wlog_748 ::
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_wlog_748 :: (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_wlog_748 AgdaAny -> AgdaAny -> T__'8846'__30
v0 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4
  = let v5 :: t
v5 = (AgdaAny -> AgdaAny -> T__'8846'__30) -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T__'8846'__30
v0 AgdaAny
v3 AgdaAny
v4 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
forall a. a
v5 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v6 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v6
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v6
           -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v3 AgdaAny
v6)
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Relation.Binary.Consequences._.dec⇒weaklyDec
d_dec'8658'weaklyDec_800 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  AgdaAny -> AgdaAny -> Maybe AgdaAny
d_dec'8658'weaklyDec_800 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny
-> AgdaAny
-> Maybe AgdaAny
d_dec'8658'weaklyDec_800 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> T_Dec_20
v6 AgdaAny
v7 AgdaAny
v8
  = (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> Maybe AgdaAny
du_dec'8658'weaklyDec_800 AgdaAny -> AgdaAny -> T_Dec_20
v6 AgdaAny
v7 AgdaAny
v8
du_dec'8658'weaklyDec_800 ::
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  AgdaAny -> AgdaAny -> Maybe AgdaAny
du_dec'8658'weaklyDec_800 :: (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> Maybe AgdaAny
du_dec'8658'weaklyDec_800 AgdaAny -> AgdaAny -> T_Dec_20
v0 AgdaAny
v1 AgdaAny
v2
  = (T_Dec_20 -> Maybe AgdaAny) -> AgdaAny -> Maybe AgdaAny
forall a b. a -> b
coe
      T_Dec_20 -> Maybe AgdaAny
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_dec'8658'maybe_106
      ((AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v0 AgdaAny
v1 AgdaAny
v2)
-- Relation.Binary.Consequences._.dec⇒recomputable
d_dec'8658'recomputable_808 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_dec'8658'recomputable_808 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_dec'8658'recomputable_808 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> T_Dec_20
v6 AgdaAny
v7 AgdaAny
v8
  = (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_dec'8658'recomputable_808 AgdaAny -> AgdaAny -> T_Dec_20
v6 AgdaAny
v7 AgdaAny
v8
du_dec'8658'recomputable_808 ::
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_dec'8658'recomputable_808 :: (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_dec'8658'recomputable_808 AgdaAny -> AgdaAny -> T_Dec_20
v0 AgdaAny
v1 AgdaAny
v2
  = (T_Dec_20 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_Dec_20 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_recompute_54
      ((AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v0 AgdaAny
v1 AgdaAny
v2)
-- Relation.Binary.Consequences._.map-NonEmpty
d_map'45'NonEmpty_832 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Relation.Binary.Definitions.T_NonEmpty_440 ->
  MAlonzo.Code.Relation.Binary.Definitions.T_NonEmpty_440
d_map'45'NonEmpty_832 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_NonEmpty_440
-> T_NonEmpty_440
d_map'45'NonEmpty_832 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 ~AgdaAny -> AgdaAny -> T_Level_18
v6 ~AgdaAny -> AgdaAny -> T_Level_18
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 T_NonEmpty_440
v9
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_NonEmpty_440 -> T_NonEmpty_440
du_map'45'NonEmpty_832 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 T_NonEmpty_440
v9
du_map'45'NonEmpty_832 ::
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Relation.Binary.Definitions.T_NonEmpty_440 ->
  MAlonzo.Code.Relation.Binary.Definitions.T_NonEmpty_440
du_map'45'NonEmpty_832 :: (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_NonEmpty_440 -> T_NonEmpty_440
du_map'45'NonEmpty_832 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 T_NonEmpty_440
v1
  = (AgdaAny -> AgdaAny -> AgdaAny -> T_NonEmpty_440)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_NonEmpty_440
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> AgdaAny -> T_NonEmpty_440
MAlonzo.Code.Relation.Binary.Definitions.C_nonEmpty_460
      ((T_NonEmpty_440 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_NonEmpty_440 -> AgdaAny
MAlonzo.Code.Relation.Binary.Definitions.d_x_454 (T_NonEmpty_440 -> AgdaAny
forall a b. a -> b
coe T_NonEmpty_440
v1))
      ((T_NonEmpty_440 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_NonEmpty_440 -> AgdaAny
MAlonzo.Code.Relation.Binary.Definitions.d_y_456 (T_NonEmpty_440 -> AgdaAny
forall a b. a -> b
coe T_NonEmpty_440
v1))
      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 (T_NonEmpty_440 -> AgdaAny
MAlonzo.Code.Relation.Binary.Definitions.d_x_454 (T_NonEmpty_440 -> T_NonEmpty_440
forall a b. a -> b
coe T_NonEmpty_440
v1))
         (T_NonEmpty_440 -> AgdaAny
MAlonzo.Code.Relation.Binary.Definitions.d_y_456 (T_NonEmpty_440 -> T_NonEmpty_440
forall a b. a -> b
coe T_NonEmpty_440
v1))
         (T_NonEmpty_440 -> AgdaAny
MAlonzo.Code.Relation.Binary.Definitions.d_proof_458 (T_NonEmpty_440 -> T_NonEmpty_440
forall a b. a -> b
coe T_NonEmpty_440
v1)))
-- Relation.Binary.Consequences._.flip-Connex
d_flip'45'Connex_854 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_flip'45'Connex_854 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny
-> AgdaAny
-> T__'8846'__30
d_flip'45'Connex_854 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 ~AgdaAny -> AgdaAny -> T_Level_18
v6 ~AgdaAny -> AgdaAny -> T_Level_18
v7 AgdaAny -> AgdaAny -> T__'8846'__30
v8 AgdaAny
v9 AgdaAny
v10
  = (AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> T__'8846'__30
du_flip'45'Connex_854 AgdaAny -> AgdaAny -> T__'8846'__30
v8 AgdaAny
v9 AgdaAny
v10
du_flip'45'Connex_854 ::
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
du_flip'45'Connex_854 :: (AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> T__'8846'__30
du_flip'45'Connex_854 AgdaAny -> AgdaAny -> T__'8846'__30
v0 AgdaAny
v1 AgdaAny
v2
  = (T__'8846'__30 -> T__'8846'__30) -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe T__'8846'__30 -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.du_swap_78 ((AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T__'8846'__30
v0 AgdaAny
v2 AgdaAny
v1)
-- Relation.Binary.Consequences.subst⟶respˡ
d_subst'10230'resp'737'_862 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_subst'10230'resp'737'_862 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_subst'10230'resp'737'_862 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
  = ((AgdaAny -> AgdaAny -> T_Level_18)
 -> ((AgdaAny -> T_Level_18)
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_subst'8658'resp'737'_38 AgdaAny -> AgdaAny -> T_Level_18
v5 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
-- Relation.Binary.Consequences.subst⟶respʳ
d_subst'10230'resp'691'_864 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_subst'10230'resp'691'_864 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_subst'10230'resp'691'_864 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
  = ((AgdaAny -> AgdaAny -> T_Level_18)
 -> ((AgdaAny -> T_Level_18)
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_subst'8658'resp'691'_48 AgdaAny -> AgdaAny -> T_Level_18
v5 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
-- Relation.Binary.Consequences.subst⟶resp₂
d_subst'10230'resp'8322'_866 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_subst'10230'resp'8322'_866 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
d_subst'10230'resp'8322'_866 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6
  = (((AgdaAny -> T_Level_18)
  -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
forall a b. a -> b
coe ((AgdaAny -> T_Level_18)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_subst'8658'resp'8322'_58 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6
-- Relation.Binary.Consequences.P-resp⟶¬P-resp
d_P'45'resp'10230''172'P'45'resp_868 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny ->
  (AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_P'45'resp'10230''172'P'45'resp_868 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> T_Irrelevant_20
d_P'45'resp'10230''172'P'45'resp_868 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences.total⟶refl
d_total'10230'refl_870 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_total'10230'refl_870 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_total'10230'refl_870 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 T_Σ_14
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> T__'8846'__30
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
  = (T_Σ_14
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> T__'8846'__30)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_total'8658'refl_152 T_Σ_14
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> T__'8846'__30
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
-- Relation.Binary.Consequences.total+dec⟶dec
d_total'43'dec'10230'dec_872 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d_total'43'dec'10230'dec_872 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d_total'43'dec'10230'dec_872 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> T__'8846'__30
v8 AgdaAny -> AgdaAny -> T_Dec_20
v9 AgdaAny
v10 AgdaAny
v11
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> T__'8846'__30)
 -> (AgdaAny -> AgdaAny -> T_Dec_20)
 -> AgdaAny
 -> AgdaAny
 -> T_Dec_20)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny
-> AgdaAny
-> T_Dec_20
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny
-> AgdaAny
-> T_Dec_20
du_total'8743'dec'8658'dec_204 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> T__'8846'__30
v8 AgdaAny -> AgdaAny -> T_Dec_20
v9 AgdaAny
v10 AgdaAny
v11
-- Relation.Binary.Consequences.trans∧irr⟶asym
d_trans'8743'irr'10230'asym_874 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_trans'8743'irr'10230'asym_874 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_trans'8743'irr'10230'asym_874 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences.irr∧antisym⟶asym
d_irr'8743'antisym'10230'asym_876 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irr'8743'antisym'10230'asym_876 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_irr'8743'antisym'10230'asym_876 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences.asym⟶antisym
d_asym'10230'antisym_878 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_asym'10230'antisym_878 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_asym'10230'antisym_878 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
du_asym'8658'antisym_354
-- Relation.Binary.Consequences.asym⟶irr
d_asym'10230'irr_880 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym'10230'irr_880 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym'10230'irr_880 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences.tri⟶asym
d_tri'10230'asym_882 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_tri'10230'asym_882 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_tri'10230'asym_882 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences.tri⟶irr
d_tri'10230'irr_884 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_tri'10230'irr_884 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_tri'10230'irr_884 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Consequences.tri⟶dec≈
d_tri'10230'dec'8776'_886 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d_tri'10230'dec'8776'_886 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d_tri'10230'dec'8776'_886 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> T_Tri_158
v6 AgdaAny
v7 AgdaAny
v8
  = ((AgdaAny -> AgdaAny -> T_Tri_158)
 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> T_Dec_20
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> T_Dec_20
du_tri'8658'dec'8776'_492 AgdaAny -> AgdaAny -> T_Tri_158
v6 AgdaAny
v7 AgdaAny
v8
-- Relation.Binary.Consequences.tri⟶dec<
d_tri'10230'dec'60'_888 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d_tri'10230'dec'60'_888 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d_tri'10230'dec'60'_888 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> T_Tri_158
v6 AgdaAny
v7 AgdaAny
v8
  = ((AgdaAny -> AgdaAny -> T_Tri_158)
 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> T_Dec_20
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> T_Dec_20
du_tri'8658'dec'60'_528 AgdaAny -> AgdaAny -> T_Tri_158
v6 AgdaAny
v7 AgdaAny
v8
-- Relation.Binary.Consequences.trans∧tri⟶respʳ≈
d_trans'8743'tri'10230'resp'691''8776'_890 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans'8743'tri'10230'resp'691''8776'_890 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans'8743'tri'10230'resp'691''8776'_890 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7
                                           AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> T_Tri_158
v9 AgdaAny
v10 AgdaAny
v11 AgdaAny
v12 AgdaAny
v13 AgdaAny
v14
  = ((AgdaAny -> AgdaAny -> T_Tri_158)
 -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> AgdaAny
du_trans'8743'tri'8658'resp'691'_564 AgdaAny -> AgdaAny -> T_Tri_158
v9 AgdaAny
v10 AgdaAny
v12
-- Relation.Binary.Consequences.trans∧tri⟶respˡ≈
d_trans'8743'tri'10230'resp'737''8776'_892 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans'8743'tri'10230'resp'737''8776'_892 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans'8743'tri'10230'resp'737''8776'_892 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7
                                           AgdaAny -> AgdaAny -> T_Tri_158
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11 AgdaAny
v12 AgdaAny
v13
  = ((AgdaAny -> AgdaAny -> T_Tri_158)
 -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> AgdaAny
du_trans'8743'tri'8658'resp'737'_648 AgdaAny -> AgdaAny -> T_Tri_158
v8 AgdaAny
v9 AgdaAny
v11
-- Relation.Binary.Consequences.trans∧tri⟶resp≈
d_trans'8743'tri'10230'resp'8776'_894 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_trans'8743'tri'10230'resp'8776'_894 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T_Tri_158)
-> T_Σ_14
d_trans'8743'tri'10230'resp'8776'_894 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 AgdaAny -> AgdaAny -> T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> T_Tri_158
v9
  = ((AgdaAny -> AgdaAny -> T_Tri_158) -> T_Σ_14)
-> (AgdaAny -> AgdaAny -> T_Tri_158) -> T_Σ_14
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Tri_158) -> T_Σ_14
du_trans'8743'tri'8658'resp_716 AgdaAny -> AgdaAny -> T_Tri_158
v9
-- Relation.Binary.Consequences.dec⟶weaklyDec
d_dec'10230'weaklyDec_896 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  AgdaAny -> AgdaAny -> Maybe AgdaAny
d_dec'10230'weaklyDec_896 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny
-> AgdaAny
-> Maybe AgdaAny
d_dec'10230'weaklyDec_896 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> T_Dec_20
v6 AgdaAny
v7 AgdaAny
v8
  = ((AgdaAny -> AgdaAny -> T_Dec_20)
 -> AgdaAny -> AgdaAny -> Maybe AgdaAny)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny
-> AgdaAny
-> Maybe AgdaAny
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> Maybe AgdaAny
du_dec'8658'weaklyDec_800 AgdaAny -> AgdaAny -> T_Dec_20
v6 AgdaAny
v7 AgdaAny
v8
-- Relation.Binary.Consequences.dec⟶recomputable
d_dec'10230'recomputable_898 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_dec'10230'recomputable_898 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_dec'10230'recomputable_898 T_Level_18
v0 T_Level_18
v1 T_Level_18
v2 T_Level_18
v3 T_Level_18
v4 AgdaAny -> AgdaAny -> T_Level_18
v5 AgdaAny -> AgdaAny -> T_Dec_20
v6 AgdaAny
v7 AgdaAny
v8
  = ((AgdaAny -> AgdaAny -> T_Dec_20)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_dec'8658'recomputable_808 AgdaAny -> AgdaAny -> T_Dec_20
v6 AgdaAny
v7 AgdaAny
v8